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Finding the Fourth Proportional to 6,419.74, 8,851.16 and 4,909.15

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Solution

The fourth proportional to 6,419.74, 8,851.16 and 4,909.15 is: 6,768.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.74 : 8,851.16 = 4,909.15 : x
  2. Step 2: Convert to fraction form
    6,419.74/8,851.16 = 4,909.15/x
  3. Step 3: Cross multiply
    6,419.74x = 8,851.16 × 4,909.15
  4. Step 4: Simplify right side
    6,419.74x = 43,451,645.66
  5. Step 5: Solve for x
    x = 43,451,645.66/6,419.74
  6. Step 6: Final answer
    x = 6,768.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.